Professor Ph.D. (IIT Guwahati)
+91 (0)361 258 2610 shbora ◊ iitg ⋅ ac ⋅ in
Research Area: Eigenvalue Problems, Spectral Perturbation Theory
Room No: E-105
Personal Website | IRINS Profile
Perturbation theory for linear and nonlinear eigenvalue problems, Distance problems for matrices and matrix polynomials.
1995-1996 M.Sc. in Mathematics, University of Gauhati.
1997-2001 Ph.D. in Mathematics, Department of Mathematics, IIT Guwahati.
(Ph.D. thesis titled A Geometric Analysis of Spectral Stability of matrices and operators was prepared under the guidance of Prof. Rafikul Alam.)
Currently teaching:
Matrix Computations (MA423)
Previous Teaching Assignments:
January-April 2021: Numerical Linear Algebra (MA571)
September-December 2020: Matrix Computations (MA423)
January-May 2020: Mathematics II (MA102) to B.Tech 2nd semester students.
July-November 2019: Matrix Computations (MA423) to B.Tech (M & C) 7th semester students.
January - May 2019: Numerical Linear Algebra (MA571) to M.Sc. (M & C) 4th semester students.
July - November 2018: Advanced Linear Algebra (MA424) to B.tech 7th semester students (elective).
January-May 2018: Numerical Linear Algebra to M.Sc. (M & C) 4th semester students.
July-September 2017: Linear Algebra (MA522) to M.Sc. (M & C) 1st semester students.
January - April 2017: Mathematics II (MA102) to B.Tech 2nd semester students.
July - November 2016: Matrix Computations (MA423) to B.Tech (M & C) 7th semester students.
January - April 2016: Numerical Linear Algebra (MA571) to M.Sc. (M & C) 4th semester students.
For a list of courses taught prior to 2016 please click here.
1. Michael Karow, "Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory (Festschrift in honor of V. Mehrmann)", Structured Eigenvalue Perturbation Theory , Springer (978-3-319-15260-8) ,pp.199-222 [2015]
15. Nandita Roy, Michael Karow, Gorka Armentia, "Approximation of Pseudospectra of Block Upper Triangular Matrices", Linear Algebra and its Applications , vol.623 ,pp.398-419, [2021] , https://doi.org/10.1016/j.laa.2020.08.008
14. Biswajit Das, "Nearest Matrix Polynomials With a Specified Elementary Divisor Nearest Matrix Polynomials With a Specified Elementary Divisor Nearest matrix polynomials with a specified elementary divisor", SIAM Journal on Matrix Analiysis and Applications , vol.41 (4) ,pp.1505-1527, [2020] , https://doi.org/10.1137/19M1286505
13. Ashish Kothyari, Biswajit Das, Shreemayee Bora, Madhu N. Belur., "On the distance to nearest singular descriptor dynamical systems with impulsive initial conditions", IEEE Transactions on Automatic Control , vol.64 (3) ,pp.1137-1149, [2019]
12. Biswajit Das, "Vector spaces of generalized linearizations for rectangular matrix polynomials", Electronic Journal of Linear Algebra , vol.35 ,pp.116-155, [2019] , https://doi.org/10.13001/1081-3810.3845
11. Ravi Srivastava, "Distance problems for Hermitian matrix pencils with eigenvalues of definite type.", SIAM Journal on Matrix Analiysis and Applications , vol.37 (1) ,pp.53-85, [2016] , https://doi.org/10.1137/140963364
10. Shreemayee Bora, Michael Karow, Christian Mehl, Punit Sharma., "Structured eigenvalue backward errors of matrix pencils and polynomials with Hermitian and related structures", SIAM Journal on Matrix Analysis and Applications , vol.36 (2) ,pp.393-416, [2015]
9. Shreemayee Bora, Michael Karow, Christian Mehl, Punit. Sharma., "Structured eigenvalue backward errors of matrix pencils and polynomials with Hermitian and related structures", SIAM Journal on Matrix Analysis and Applications , vol.35 (2) ,pp.453-475, [2014]
8. Rafikul Alam, Shreemayee Bora, Ralph Byers, Michael L. Overton., "Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components", Linear Algebra. Applications , vol.435 ,pp.494-513, [2011]
7. Rafikul Alam, Shreemayee Bora, Michael Karow, Volker Mehrmann, Julio Moro., "Perturbation theory for Hamiltonian matrices and the distances to bounded realness.", SIAM journal of Matrix Analysis and Applications , vol.32 (2) ,pp.484-514, [2011]
6. Shreemayee Bora., "Structured eigenvalue condition number and backward error of a class of polynomial eigenvalue problems.", SIAM Journal of Matrix Analysis and Applications. , vol.31 ,pp.900-917, [2009]
5. Shreemayee Bora, Volker Mehrmann., "Linear perturbation theory for structured matrix pencils arising in control theory.", SIAM Journal of Matrix Analysis Applications. , vol.28 (1) ,pp.148-169, [2006]
4. Rafikul Alam, Shreemayee Bora., "On stable eigendecompositions of matrices.", SIAM Journal of Matrix Analysis Application. , vol.26 (3) ,pp.830-848, [2005]
3. Rafikul Alam, Shreemayee Bora., "On sensitivity of eigenvalues and eigendecompositions of matrices", . Linear Algebra Applications , vol.396 ,pp.273-301, [2005]
2. Rafikul Alam, Shreemayee Bora., "Stability of eigenvalues and spectral decompositions under linear perturbation.", Linear Algebra and its Applications. , vol.364 ,pp.189-211, [2003]
1. Rafikul Alam, Shreemayee Bora., "Effect of linear perturbation on spectra of matrices.", Linear Algebra. Applications. , vol.368 ,pp.329-342, [2003]
1. Rafikul Alam, Shreemayee Bora., "On epsilon-spectral analysis of matrices, in S.H. Kulkarni and M. N. N. Namboodiri (Eds.).", International Workshop on Linear Algebra, Numerical Functional Analysis and Wavelets Analysis, Allied Publishers Pvt. Ltd. ,pp.25-44, [2003]
Research Scholars
| 1 | Kannan R |
| 1 | Nandita Roy |
| 2 | Ravi Srivastava |
| 3 | Punit Sharma |
| 4 | Biswajit Das |
| 1. Eigenvalues of Linear and Non-linear Matrix Valued Functions: A Study of Inclusion Regions, Pseudospectra and Low Rank Perturbations.
|
| 2. Distance Problems for Structured Matrix Polynomials
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